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Finding the Fourth Proportional to 133,195.78, 183,818.66 and 75,840.11

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Solution

The fourth proportional to 133,195.78, 183,818.66 and 75,840.11 is: 104,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,195.78 : 183,818.66 = 75,840.11 : x
  2. Step 2: Convert to fraction form
    133,195.78/183,818.66 = 75,840.11/x
  3. Step 3: Cross multiply
    133,195.78x = 183,818.66 × 75,840.11
  4. Step 4: Simplify right side
    133,195.78x = 13,940,828,043.60
  5. Step 5: Solve for x
    x = 13,940,828,043.60/133,195.78
  6. Step 6: Final answer
    x = 104,664.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.